This paper applies the multivariate GARCH models to investigate role of Bitcoin as a hedge and safe haven for ASEAN+6 stock markets compared gold. We used daily data dates 2 January 2017–20 2023, covering recent COVID-19 pandemic. The empirical findings provide compelling evidence cross-market shock volatility transmission between returns in both directions. Therefore, dynamics significantly in...

Within the framework of the conditional Arbritage Pricing Theory, estimators of conditional risk are not unique. We focus on an estimator of conditional risk based on the conditional volatility of the asset return. Estimates of conditional risk account for: 1) interdependence of conditional and unconditional moments of the asset return; 2) effect of the conditional and unconditional fourth mome...

in this paper, the portfolio selection problem is considered, where fuzziness and randomness appear simultaneously in optimization process. since return and dividend play an important role in such problems, a new model is developed in a mixed environment by incorporating fuzzy random variable as multi-objective nonlinear model. then a novel interactive approach is proposed to determine the pref...

We examine how the evidence of the time-varying volatility in stock returns affects optimal dynamic portfolio choice of investors with long horizons. As return volatility shows a relatively small correlation with realized return, its time-variation is expected to cause little, if any, hedging demand (in the sense of Merton (1973)). However, we find that, once transaction costs are taken into ac...

One of the most important duties of financial economy is modeling and forecasting the volatilities of price of risky assets. From analysts and policy makers’ view, price volatility is a key variable contributing to perception of market volatilities. Therefore, analysts need to have an appropriate of forecast of price volatility as a necessary input to perform duties such as risk management, por...